Algebra All Skills
description
Transcript of Algebra All Skills
Algebra All Skills
Year 10July 2011
Expand and simplify
4(p+5)=4p + 20
Expand and simplify
d(3-d)=3d – d2
Expand and simplify
4 + 7(x-3)= 4 + 7x – 21
= 7x - 17
Expand and simplify
5x(x-3)=5x2 - 15
Circle the LIKE terms
Which terms are like 2a?2a2 4a –a 5ac
Circle the LIKE terms
Which terms are like -2x2?2x2 4x –2ax2 5ax
Circle the LIKE terms
Which terms are like ax2?2ax2 4ax –2ax2 5a2x
Circle the LIKE terms
Which terms are like abc?2abc 4ab –2ab2 5a2bc
Simplify2p + x – 4p – 5x
= 2p – 4p + x – 5x= -2p – 4x
Simplify3a + 3b + 2a – 2b
=3a + 2a + 3b – 2b= 5a + b
Simplify8 x m= 8m
Simplify8m x 2m
= 8 x 2 x m x m= 16m2
Simplify8m x -2m= - 16m2
Simplify-8m x -2m= 16m2
Negative times negativeEquals positive
Simplify-8m2 x -2m
= 16m3
Simplify-3a3m2 x -2a2m=3x2a3a2m2m1
=6a5m3
Simplify3a5m2 x -2a6m
= -3x 2a5a6m2m1 = -6a11m3
Simplify3a5m2 x 10a6 = 3 x 10a5a6m2
= 30a11m2
Simplify(3a5m2)2
= (3a5m2)(3a5m2) = 3x3a5a5m2m2
= 9a10m4
Simplify(-2am2)3
=(-2am2)(-2am2)(-2am2)=(-2)(-2)(-2)aaam2m2m2
=-8a3m6
Simplify-(3m4)3
Simplify(-2m4)4
Simplify(-2m4)4 (-2m4)4
Simplify-20m4 -2m3
Simplify-20m4
-200m6
Simplify-5m8 10m4
Simplify5a7b8m8
10a4b3m4
Simplify50a7b8m3 60a7b7m4
Simplify500a10b8m3 600a7b9m5
Solve4 + x = 2.9
SolveX - 3 = 2.9
SolveX ÷ 3 = 2
Solve30 ÷ x = 2
Solveg ÷ -9 = 2
Solve3w – 11 = -4
Solve5h + 25 = -25
Solve2(x-7) = 3(x+5)
Solve2x-5 = 7-2x
3
Solve2(p+4)= p+8
Factorise6p + 12
Factorise20-10x
Factorise6p2 + 12p3
Factorise6p - 12p3
Factorise6ap – 18ap3
Factorise6abc + 12abcx
CalculateWhen a = 3
2a + 5
CalculateWhen a = -2
2a + 5
CalculateWhen a = -2
2 - a2
Calculate A
When r = 2
Calculate c
When a = 3 and b = 4
Solve
3 (2 𝑥+7 )=33
Expand
7(x+3) – 4(x-4)
Expand
7(x+6) – 3(x+4)
Expand
(x-6)(x+4)
Expand
(3x-6)(2x+4)
Expand
2(3x-1)+ 3(2x+4)
Simplify
3x-1 + 2x+3 2x x
Solve
3x-1 + 2x+3 = 1 2x x